diff --git a/Library/Homebrew/dev-cmd/bump-formula-pr.rb b/Library/Homebrew/dev-cmd/bump-formula-pr.rb
index 0e8144dee6..6affcf1246 100644
--- a/Library/Homebrew/dev-cmd/bump-formula-pr.rb
+++ b/Library/Homebrew/dev-cmd/bump-formula-pr.rb
@@ -183,6 +183,7 @@ module Homebrew
     elsif !new_url && !new_version
       odie "#{formula}: no --url= or --version= argument specified!"
     else
+      new_url ||= PyPI.update_pypi_url(old_url, new_version)
       new_url ||= old_url.gsub(old_version, new_version)
       if new_url == old_url
         odie <<~EOS
diff --git a/Library/Homebrew/utils/pypi.rb b/Library/Homebrew/utils/pypi.rb
index 486462be19..a3947533ad 100644
--- a/Library/Homebrew/utils/pypi.rb
+++ b/Library/Homebrew/utils/pypi.rb
@@ -7,6 +7,20 @@ module PyPI
 
   @pipgrip_installed = nil
 
+  def url_to_pypi_package_name(url)
+    return unless url.start_with? PYTHONHOSTED_URL_PREFIX
+
+    File.basename(url).match(/^(.+)-[a-z\d.]+$/)[1]
+  end
+
+  def update_pypi_url(url, version)
+    package = url_to_pypi_package_name url
+    return if package.nil?
+
+    _, url = get_pypi_info(package, version)
+    url
+  end
+
   # Get name, url, and version for a given pypi package
   def get_pypi_info(package, version)
     metadata_url = "https://pypi.org/pypi/#{package}/#{version}/json"
@@ -32,7 +46,7 @@ module PyPI
 
     # PyPI package name isn't always the same as the formula name. Try to infer from the URL.
     pypi_name = if formula.stable.url.start_with?(PYTHONHOSTED_URL_PREFIX)
-      File.basename(formula.stable.url).match(/^(.+)-[a-z\d.]+$/)[1]
+      url_to_pypi_package_name formula.stable.url
     else
       formula.name
     end